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130160316 = 2231113101751
BaseRepresentation
bin1111100001000…
…01011010111100
3100001220211101110
413300201122330
5231310112231
620525442020
73140226066
oct760413274
9301824343
10130160316
1167521410
1237710310
1320c73750
1413402736
15b661046
hex7c216bc

130160316 has 96 divisors (see below), whose sum is σ = 360815616. Its totient is φ = 36000000.

The previous prime is 130160309. The next prime is 130160333. The reversal of 130160316 is 613061031.

It is a super-2 number, since 2×1301603162 = 33883415722439712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130160292 and 130160301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172941 + ... + 173691.

It is an arithmetic number, because the mean of its divisors is an integer number (3758496).

Almost surely, 2130160316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130160316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180407808).

130160316 is an abundant number, since it is smaller than the sum of its proper divisors (230655300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130160316 is a wasteful number, since it uses less digits than its factorization.

130160316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 130160316 is about 11408.7824065498. The cubic root of 130160316 is about 506.7878543984.

The spelling of 130160316 in words is "one hundred thirty million, one hundred sixty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 101 132 143 156 202 286 303 404 429 572 606 751 858 1111 1212 1313 1502 1716 2222 2253 2626 3004 3333 3939 4444 4506 5252 6666 7878 8261 9012 9763 13332 14443 15756 16522 19526 24783 28886 29289 33044 39052 43329 49566 57772 58578 75851 86658 99132 107393 117156 151702 173316 214786 227553 303404 322179 429572 455106 644358 834361 910212 986063 1288716 1668722 1972126 2503083 2958189 3337444 3944252 5006166 5916378 10012332 10846693 11832756 21693386 32540079 43386772 65080158 130160316